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Practise with official AQA GCSE Mathematics past papers, complete with mark schemes and examiner reports where available. Work through full papers by exam session — all free to download.
Misapplying the Laws of Indices
Remember that when multiplying or dividing terms with the same base, the base remains unchanged while you add or subtract the indices…
All 5 examiner tipsFoundation tier· 3
Higher tier· 3
Foundation tier· 3
Higher tier· 3
Examiner InsightsAQA GCSE Mathematics
Practical advice to help you avoid common mistakes and write stronger answers.
Multiplying or dividing the bases as well as the indices. For example, incorrectly calculating as , instead of , or as , instead of . Another common error is incorrectly "cancelling" the bases when dividing, such as calculating as , instead of .
How to improve
Check the command word before you write.
Many students use a direct proportion strategy, leading to answers where more workers result in more time taken, which fails a "common sense" check. Another frequent error is calculating the total number of workers needed but forgetting to answer the specific question of "how many more" workers are required.
“common sense”
How to improve
Calculate the "total work" required (e.g., number of workers × days) and then divide by the new variable.
Check the command word before you write.
A common mistake is treating columns in a frequency table as independent sets of results or averaging the relative frequencies of different sets.
How to improve
Check the command word before you write.
When dealing with similar shapes, students often use the linear scale factor for volume or area problems without squaring or cubing it first.
How to improve
If the linear scale factor is k, the area scale factor is k2 and the volume scale factor is k3.
Where it counts: Linear, Area, Volume
Many students confuse the gradient formula, using change in x over change in y instead of the correct change in y over change in x. Students also struggle to identify when a gradient should be negative.
How to improve
Draw a quick sketch of the points to visualize the line; if it goes "downhill" from left to right, your gradient must be negative.
Check the command word before you write.
No structural or content changes — topics, tiers, papers, and marks remain identical. Key regulatory update: the printed formulae sheet is officially confirmed to continue through 2027 (including November resits). Students receive clean copies in the exam room covering the same formulas as 2022–2026. Note that examiners cannot set questions answerable solely by copying formulas — questions test manipulation, rearrangement, and application to complex problems.
The last major overhaul was September 2015 (first exams June 2017), introducing the current 8300 spec as part of nationwide GCSE reform. Key changes: 9–1 grading scale (replaced A∗–G); increased difficulty and volume with new content (Venn diagrams, iteration, basic calculus); three-paper structure (1 non-calculator, 2 calculator, 1h 30m each). The next overhaul is scheduled: Spring 2027 (final rewritten curriculum published), September 2029 (first teaching begins), June 2031 (first exams). The current specification remains fully locked in and unchanged for all exams through the end of the decade.
You won't lose marks just for having messy handwriting, but if the examiner cannot read your numbers, they cannot give you the mark.
8300 is the master code for standard AQA GCSE Mathematics. When registering for exams, you'll see: 8300F (Foundation Tier — Grades 1–5) or 8300H (Higher Tier — Grades 4–9) — these are the same syllabus, just tier-specific. 8365 is AQA Level 2 Certificate in Further Mathematics, an entirely separate optional qualification for high-achieving students covering advanced content (Matrices, Calculus, Differentiation) to bridge to A-Level. To verify your code: (1) Check your Statement of Entry — it will state 8300F or 8300H explicitly; (2) Look at past paper headers — top right should read 8300/1F, 8300/2F, etc.; (3) Beware OxfordAQA code 9260 if studying the subject internationally — that's a different qualification from UK domestic 8300. If taking standard UK GCSEs, you're on 8300 (either F or H tier).
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